Question

Let x and y be rational and irrational numbers, respectively. Is x + y necessarily an irrational

number? Give an example in support of your answer.​

Answer 1

Step-by-step explanation:

$let \:\frac{2}{3} \:be \: a \: rational \: number \: and \: \sqrt{2} an \: irrational \: number \\ \\ then \: their \: sum \: is \: \frac{2}{3} + \sqrt{2} which \: is \: an \: irrational \: number \\ \\ \\ hence \: when \: x \: is \: a \: rational \: number \: and \: y \: is \: a \: irrational \: number \: then \: their \: sum \: is \: a \: irrational \: number$

$is rational number and y is irrational number$